Smoothing gradient descent algorithm for the composite sparse optimization by Wei Yang, Lili Pan, Jinhui Wan

“…At last, we present several computational examples to illustrate the efficiency of the algorithm.…”
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Joint Operating Revenue and Passenger Travel Cost Optimization in Urban Rail Transit by Wenxin Li, Qiyuan Peng, Qinlin Li, Chao Wen, Yongxiang Zhang, Javad Lessan

“…We apply a fuzzy multiobjective optimization and a nondominated sorting genetic algorithm II to solve the optimization problem and characterize the trade-off between the conflicting objective functions under different types of distances. To illustrate the model and solution methodology, the proposed model and solution algorithms are validated against train operation record from a URT line of Chengdu metro in China. …”
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Synthesis of Phase-Only Reconfigurable Linear Arrays Using Multiobjective Invasive Weed Optimization Based on Decomposition by Yan Liu, Yong-Chang Jiao, Ya-Ming Zhang, Yan-Yan Tan

“…At last, two sets of experiments are carried out to illustrate the effectiveness of MOEA/D-IWO. In addition, MOEA/D-IWO is compared with MOEA/D-DE, a new version of MOEA/D. …”
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Convergent Power Series of sech⁡(x) and Solutions to Nonlinear Differential Equations by U. Al Khawaja, Qasem M. Al-Mdallal

“…A straightforward application of this method is to solve analytically nonlinear differential equations, which we also illustrate here. The method provides also a robust and very efficient numerical algorithm for solving nonlinear differential equations numerically. …”
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Chlamydia trachomatis Mimicking COVID-19 Chronic Follicular Conjunctivitis by Sukhmandeep Kaur, Zachary Raphael Teibel, Nada Farhat, Adam Atoot, Brett Bielory

“…Conclusions. These cases illustrate the role of biopsy as an investigative tool in chronic conjunctivitis and the importance of having a broad differential when treating patients with acute conjunctivitis.…”
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Estimation of Finite Population Mean in Multivariate Stratified Sampling under Cost Function Using Goal Programming by Atta Ullah, Javid Shabbir, Zawar Hussain, Bander Al-Zahrani

“…A numerical example is presented to illustrate the computational details and to compare the efficiency of proposed compromise allocation.…”
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CAMELLIA THUANANA (CAMELLIA SECT. CHRYSANTHA) – A NEW SPECIES FROM THE CENTRAL HIGHLANDS, VIETNAM by Thanh Truong Hoang, Hong En Le, Thi Lieu Nguyen

“…(Theaceae) is described and illustrated from the Central Highlands, Vietnam. Morphological features of this species are small flowers and pedicellate; leaves stalked, anastomosing venation, blades oblong-elliptic to elliptic, sparsely hirsute along the midrib below; pedicel very short; bracteoles 2–3, triangular; sepals 4–(5) in opposite pairs; corolla light greenish-yellow color; petals 7–8, glabrous; androecium 190–200 stamens, light yellow, in 3–4 circles; gynoecium 3, ovary ovoid and pubescent; styles 3, free to the base, and glabrous. …”
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On a Class of Abstract Time-Fractional Equations on Locally Convex Spaces by Marko Kostić, Cheng-Gang Li, Miao Li

“…The obtained results are illustrated with several examples.…”
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Dividend policies and managerial ability beyond financial constraints: insights from China by Dan Hou, Ziyan Yuan, Alina Taran-Bozbay, R. M. Ammar Zahid

“…These results contribute to corporate and regulatory dividend policies, illustrating the importance of understanding the role of managerial influence on dividend decisions.…”
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Bifurcation Behavior Analysis in a Predator-Prey Model by Nan Wang, Min Zhao, Hengguo Yu, Chuanjun Dai, Beibei Wang, Pengfei Wang

“…Numerical analysis ensures reliability of the theoretical results and illustrates that three stable equilibria will arise simultaneously in the model. …”
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A Case Report of Leptomeningeal Myelomatosis and Rapid Improvement with Regimen Consisting of Daratumumab, Pomalidomide, Vincristine, Procarbazine, and Dexamethasone by Jew Win Kuan, Sing Ling Chai, Pathmanathan Rajadurai, Lee Gong Lau, Joseph Uchang, Sharifah Noor Akmal Syed Husain

“…We would like to report a case of leptomeningeal myelomatosis and illustrated the challeges. A 61-year-old man was diagnosed with MM with left paravertebral plasmacytoma, R-ISS II with high suspicion of double-hit MM, either biallelic aberrancy of TP53 or del(17p) and IGH aberrancy depending on the definition chosen, treated with lenalidomide-bortezomib-dexamethasone and local radiotherapy, later developed systemic relapse and progression to MM-CNS in the form of leptomeningeal myelomatosis. …”
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A Three-Species Food Chain System with Two Types of Functional Responses by Younghae Do, Hunki Baek, Yongdo Lim, Dongkyu Lim

“…Moreover, we provide numerical evidence of the existence of chaotic phenomena by illustrating bifurcation diagrams of system and by calculating the largest Lyapunov exponent.…”
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Local decay rates of best-approximation errors using vector-valued finite elements for fields with low regularity and integrable curl or divergence by Dong, Zhaonan, Ern, Alexandre, Guermond, Jean-Luc

“…., (2021)] and by exploiting the additional assumption made on the curl or the divergence of the target field. As an illustration, we show how to apply these results to the error analysis of the curl-curl problem associated with Maxwell’s equations.…”
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An Unusual Case of Asystole following Penetrating Neck Trauma and Anoxic Brain Injury by Matthew Nayor, Alissa J. Berliner, Grant V. Chow, David D. Spragg

“…His recovery was complicated by prolonged periods of sinus arrest and asystole, lasting over 60 seconds per episode. This case illustrates that sustained asystolic episodes may occur following significant neurologic injury, and may continue to recur even months after an initial insult. …”
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Asymptotically Almost Periodic Solutions for a Class of Stochastic Functional Differential Equations by Aimin Liu, Yongjian Liu, Qun Liu

“…An example is also given to illustrate our results.…”
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Routes to Multiple Equilibria for Mass-Action Kinetic Systems by Antonio A. Alonso, Irene Otero-Muras, Manuel Pájaro

“…Interestingly, some kinetic networks within this latter class are capable of sustaining multiple equilibria for any reaction simplex, as we illustrate with one example.…”
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Reduction of the In-Band RCS of Microstrip Patch Antenna by Using Offset Feeding Technique by Weiwei Xu, Junhong Wang, Meie Chen, Zhan Zhang, Zheng Li

“…Examples that show the efficiency of the method are given, and the results illustrate that the in-band RCS of the proposed antennas can be reduced by as much as 17 dBsm for plane waves impinging from the normal direction compared to patch antennas fed by conventional methods.…”
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The Multi-Period Dynamic Optimization with Carbon Emissions Reduction under Cap-and-Trade by Baiyun Yuan, Bingmei Gu, Chunming Xu

“…Finally, numerical examples are illustrated to verify the proposed model, and some managerial inferences for a multi-period emission reduction are provided in conclusions.…”
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Generalized Adaptive Diversity Gradient Descent Bit-Flipping with a Finite State Machine by Jovan Milojković, Srdjan Brkić, Predrag Ivaniš, Bane Vasić

“…The performance of the proposed algorithm is illustrated for various regular LDPC codes, both in a binary symmetric channel (BSC) and the channel with additive white Gaussian noise (AWGN). …”
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Machine Learning of the Reactor Core Loading Pattern Critical Parameters by Krešimir Trontl, Dubravko Pevec, Tomislav Šmuc

“…The main objective of the work reported in this paper was to evaluate the possibility of applying SVR method for reactor core loading pattern modeling. We illustrate the performance of the solution and discuss its applicability, that is, complexity, speed, and accuracy.…”
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